In the given figure, O is the centre of the circle. PQ is a tangent to the circle at T. Chord AB produced meets the tangent at P. AB = 9 cm, BP = 16 cm, ∠PTB = 50° ∠OBA = 45° Find:

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CASE_STUDIESTheorem on Tangent Perpendicular to Radius at Point of ContactAngle Subtended by Arc at Centre is Twice Angle at CircleTangent-Secant Segment Theorem4 sub-questions

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In the given figure, AB is a diameter of the circle with centre O. AQ, BP and PQ are tangents to the circle. Prove that ∠POQ = 90°.

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